diff --git a/paddle/fluid/operators/reduce_ops/reduce_op.cu.h b/paddle/fluid/operators/reduce_ops/reduce_op.cu.h
index ee2beded713085ed5232b9f05f4250a73315c978..61efa409b90c3ed7bcedffbd08896ab13ec2b74c 100644
--- a/paddle/fluid/operators/reduce_ops/reduce_op.cu.h
+++ b/paddle/fluid/operators/reduce_ops/reduce_op.cu.h
@@ -34,9 +34,11 @@ namespace cub = hipcub;
 #include "paddle/fluid/framework/tensor.h"
 #include "paddle/fluid/framework/tensor_util.h"
 #include "paddle/fluid/platform/cuda_device_function.h"
+#include "paddle/fluid/platform/fast_divmod.h"
 
 // Reduce split or not, Whether to use ReduceHigherDim
 #define REDUCE_SPLIT_BOUNDARY 512
+#define REDUCE_VEC_SIZE 4
 
 namespace paddle {
 namespace operators {
@@ -72,6 +74,8 @@ static inline int GetLastPow2(int n) {
   return std::max(1, n - (n >> 1));
 }
 
+static inline int64_t AlignUp(int64_t a, int64_t b) { return (a + b - 1) / b; }
+
 // get strides of x_dim, reduce_dim and left_dim for reduceLastDim and reduceAny
 static inline std::vector<int> GetDimStrides(const std::vector<int>& dims,
                                              const std::vector<int>& idx) {
@@ -122,10 +126,10 @@ static inline void CheckReduceRank(int reduce_rank, int rank) {
 template <typename T, size_t ElementCount, typename VectorLikeType>
 static inline paddle::framework::Array<T, ElementCount> VectorToArray(
     const VectorLikeType& vec) {
-  PADDLE_ENFORCE_EQ(vec.size(), ElementCount,
+  PADDLE_ENFORCE_LE(vec.size(), ElementCount,
                     platform::errors::InvalidArgument(
                         "Cub reduce Array: size not match. Received "
-                        "vec.size() %d !=  ElementCount %d.",
+                        "vec.size() %d > ElementCount %d.",
                         vec.size(), ElementCount));
   size_t n = static_cast<size_t>(vec.size());
   paddle::framework::Array<T, ElementCount> ret;
@@ -138,6 +142,7 @@ static inline paddle::framework::Array<T, ElementCount> VectorToArray(
 }  // namespace detail
 
 using Tensor = framework::Tensor;
+constexpr int kMaxRank = framework::DDim::kMaxRank;
 
 enum ReduceType {
   kReduceAll = 0x00,        // when reduce_rank == x_rank
@@ -146,6 +151,41 @@ enum ReduceType {
   kReduceAny = 0x03,        // when reduce_dim.size() > 1
 };
 
+struct IndexCalculator {
+  IndexCalculator(int dim, const std::vector<int>& cal_dims,
+                  const std::vector<int>& cal_strides,
+                  const std::vector<int>& full_strides)
+      : dim(dim) {
+    dims = detail::VectorToArray<int, kMaxRank>(cal_dims);
+    strides = detail::VectorToArray<int, kMaxRank>(full_strides);
+    std::vector<FastDivMod> cal_divmoders;
+    // fast divmod
+    for (auto i : cal_strides) {
+      cal_divmoders.push_back(FastDivMod(i));
+    }
+    divmoders = detail::VectorToArray<FastDivMod, kMaxRank>(cal_divmoders);
+  }
+
+  __device__ inline int Get(int offset) const {
+    int index = 0;
+#pragma unroll
+    for (int i = 0; i < kMaxRank; ++i) {
+      if (i == dim) {
+        break;
+      }
+      auto divmod = divmoders[i].Divmod(offset);
+      index += (divmod.val[0] * strides[dims[i]]);
+      offset = divmod.val[1];
+    }
+    return index;
+  }
+
+  int dim;
+  framework::Array<int, kMaxRank> dims;
+  framework::Array<int, kMaxRank> strides;
+  framework::Array<FastDivMod, kMaxRank> divmoders;
+};
+
 // reduce config
 template <typename Ty>
 struct ReduceConfig {
@@ -264,6 +304,9 @@ struct ReduceConfig {
     }
 
     left_dim.assign(left_set.begin(), left_set.end());
+
+    // if the last dim gets involved in reduction
+    reduce_lastdim = (reduce_dim.back() == x_dim.size() - 1);
   }
 
   // set x_strides, reduce_strides, left_strides for reduceLastDim and reduceAny
@@ -300,20 +343,76 @@ struct ReduceConfig {
 
     if (rank == reduce_rank) {
       reduce_type = static_cast<int>(ReduceType::kReduceAll);
-
     } else if (rank == 2 && reduce_rank == 1 && reduce_dim[0] == 1) {
       reduce_type = static_cast<int>(ReduceType::kReduceLastDim);
-
     } else if (reduce_rank == 1 &&
                ((rank == 2 && is_large_enough) || rank != 2)) {
       // ReduceFirstDim and reduceSecondDim
       reduce_type = static_cast<int>(ReduceType::kReduceHigherDim);
-
     } else {
       reduce_type = static_cast<int>(ReduceType::kReduceAny);
     }
   }
 
+  void SetBlockDimForReduceAny(dim3* block_dim, dim3* grid_dim) {
+    constexpr int min_reduce_num_per_thread = 16;
+    constexpr int max_reduce_num_per_thread = 256;
+    constexpr int max_num_threads = detail::kMaxThread;
+
+    // set block size.
+    // 1. if reduce_lastdim == true, block is 1-D, no need reduction in block y;
+    // 2. if reduce_lastdim == false, block is 2-D, if it is necessary,
+    //    it should reduce in block y.
+    int grid_num, reduce_num_per_thread;
+    if (reduce_lastdim) {
+      block_dim->x = detail::GetBlockDim(reduce_num);
+      block_dim->y = 1;
+      grid_num = left_num;
+      reduce_num_per_thread =
+          detail::AlignUp(reduce_num, block_dim->x * block_dim->y);
+    } else {
+      int block_x = detail::GetBlockDim(left_num);
+      int block_y = detail::GetBlockDim(reduce_num);
+      block_dim->x = std::min(block_x, 32);
+      block_dim->y =
+          std::min(block_y, static_cast<int>(max_num_threads / block_dim->x));
+      block_dim->x =
+          std::min(block_x, static_cast<int>(max_num_threads / block_dim->y));
+      grid_num = detail::AlignUp(left_num, block_dim->x);
+      reduce_num_per_thread = detail::AlignUp(reduce_num, block_dim->y);
+    }
+    int device_id = platform::GetCurrentDeviceId();
+    int max_mp = platform::GetCUDAMultiProcessors(device_id);
+    int max_threads_per_mp =
+        platform::GetCUDAMaxThreadsPerMultiProcessor(device_id);
+    int max_threads = max_threads_per_mp * max_mp;
+    int num_threads = block_dim->x * block_dim->y;
+    int max_num_blocks = max_threads / num_threads;
+
+    // set grid size.
+    // Whether to set grid.y larger than 1, there are 3 following rules:
+    // 1. The number that each thread process should no less than
+    //    min_reduce_num_per_threadbut no more than max_reduce_num_per_thread;
+    // 2. It should maximize the utilization of SM.
+    // So we choose the minimum between input_split_num_1 and input_split_num_3
+    // to make each thread process as mush data as possible. Meanwhile,
+    // the number cannot be larger than max_reduce_num_per_thread, so we
+    // choose the maximum between the result above and input_split_num_2.
+    int input_split_num_1 =
+        detail::AlignUp(reduce_num_per_thread, min_reduce_num_per_thread);
+    int input_split_num_2 =
+        detail::AlignUp(reduce_num_per_thread, max_reduce_num_per_thread);
+    int input_split_num_3 = detail::AlignUp(max_num_blocks, grid_num);
+
+    grid_dim->x = grid_num;
+    grid_dim->y = std::max(std::min(input_split_num_1, input_split_num_3),
+                           input_split_num_2);
+    // if grid.y > 1, we need launch reduce kernel again.
+    if (grid_dim->y > 1) {
+      should_reduce_again = true;
+    }
+  }
+
   // set block and grid for launch kernel
   // for ReduceHigherDim: if block is enough -> splite reduce_num
   //                     else init block(32, 1) grid(block_num, 1)
@@ -368,6 +467,8 @@ struct ReduceConfig {
         grid_dim.x = (left_num + block_dim.x - 1) / block_dim.x;
         grid_dim.y = 1;
       }
+    } else if (reduce_type == ReduceType::kReduceAny) {
+      SetBlockDimForReduceAny(&block_dim, &grid_dim);
     }
 
     block = block_dim;
@@ -388,6 +489,7 @@ struct ReduceConfig {
   int left_num;
   int blocking_size;
   bool should_reduce_again;
+  bool reduce_lastdim;
 
   Ty* output_data;
 
@@ -395,8 +497,12 @@ struct ReduceConfig {
   dim3 grid;
 };
 
+static __device__ int SharedMemoryIndex(int index) {
+  return (threadIdx.y + index) * blockDim.x + threadIdx.x;
+}
+
 template <typename T, typename ReduceOp>
-__device__ __forceinline__ T WarpReduce(T val, ReduceOp reducer) {
+static __device__ T WarpReduce(T val, ReduceOp reducer) {
   unsigned mask = 0u;
   CREATE_SHFL_MASK(mask, true);
   for (int stride = detail::kWarpSize / 2; stride > 0; stride >>= 1) {
@@ -416,7 +522,7 @@ __device__ __forceinline__ T WarpReduce(T val, ReduceOp reducer) {
  *        res                         to warp0 and process the second WarpReduce
  */
 template <typename T, typename ReduceOp>
-__device__ __forceinline__ T BlockReduce(T val, ReduceOp reducer) {
+static __device__ T BlockXReduce(T val, ReduceOp reducer) {
   using detail::kWarpSize;
   __shared__ T shared[kWarpSize];
   int block_dim_x = blockDim.x;
@@ -441,14 +547,28 @@ __device__ __forceinline__ T BlockReduce(T val, ReduceOp reducer) {
   return val;
 }
 
+template <typename T, typename ReduceOp>
+static __device__ T BlockYReduce(T val, ReduceOp reducer) {
+  __shared__ T shared_memory[detail::kMaxThread];
+  shared_memory[SharedMemoryIndex(0)] = val;
+  for (int stride = blockDim.y / 2; stride > 0; stride >>= 1) {
+    __syncthreads();
+    if (threadIdx.y < stride && threadIdx.y + stride < blockDim.y) {
+      T temp = shared_memory[SharedMemoryIndex(stride)];
+      val = reducer(val, temp);
+    }
+    shared_memory[SharedMemoryIndex(0)] = val;
+  }
+  return val;
+}
+
 // when reduce_dim.size() == 1 and reduce_dim[0] == x_dim.size() - 1, this
 // function will be used
 // blockId.x -> left_num, threadId.x -> reduce_num
 template <typename Tx, typename Ty, typename ReduceOp, typename TransformOp>
-__device__ __forceinline__ void ReduceLastDim(const Tx* x, Ty* y,
-                                              ReduceOp reducer,
-                                              TransformOp transformer, Ty init,
-                                              int reduce_num) {
+__device__ void ReduceLastDim(const Tx* x, Ty* y, ReduceOp reducer,
+                              TransformOp transformer, Ty init,
+                              int reduce_num) {
   int idx_x = blockIdx.x * reduce_num;
   int idx_y = threadIdx.x;
   Ty reduce_var = init;
@@ -458,7 +578,7 @@ __device__ __forceinline__ void ReduceLastDim(const Tx* x, Ty* y,
   }
   __syncthreads();
 
-  reduce_var = BlockReduce(reduce_var, reducer);
+  reduce_var = BlockXReduce(reduce_var, reducer);
 
   if (threadIdx.x == 0) {
     y[blockIdx.x] = reduce_var;
@@ -471,11 +591,9 @@ __device__ __forceinline__ void ReduceLastDim(const Tx* x, Ty* y,
 //     if axis = 1 then grid.z = nz, grid.y = ny / block_size, grid.x = nx / 32
 //     else grid.z = 1, grid.y = ny / block_size, grid.x = nx /32
 template <typename Tx, typename Ty, typename ReduceOp, typename TransformOp>
-__device__ __forceinline__ void ReduceHigherDim(const Tx* x, Ty* y,
-                                                ReduceOp reducer,
-                                                TransformOp transformer,
-                                                Ty init, int reduce_num,
-                                                int left_num, int block_size) {
+__device__ void ReduceHigherDim(const Tx* x, Ty* y, ReduceOp reducer,
+                                TransformOp transformer, Ty init,
+                                int reduce_num, int left_num, int block_size) {
   int idx = blockIdx.x * blockDim.x + threadIdx.x;
   int idy = blockIdx.y * block_size;
 
@@ -497,71 +615,97 @@ __device__ __forceinline__ void ReduceHigherDim(const Tx* x, Ty* y,
 
 // when reduce_dim.size() != 1 and reduce_dim.size() != x_dim.size(), this
 // function will be used
-// blockId.x -> left_num, threadId.x -> reduce_num
-template <typename Tx, typename Ty, typename ReduceOp, typename TransformOp,
-          int Rank, int ReduceRank>
-__device__ __forceinline__ void ReduceAny(
-    const Tx* x, Ty* y, ReduceOp reducer, TransformOp transformer,
-    int reduce_num, paddle::framework::Array<int, Rank> x_strides,
-    paddle::framework::Array<int, ReduceRank> reduce_dim,
-    paddle::framework::Array<int, ReduceRank> reduce_strides,
-    paddle::framework::Array<int, Rank - ReduceRank> left_dim,
-    paddle::framework::Array<int, Rank - ReduceRank> left_strides) {
-  int sub_index[Rank];
-  int left_idx = blockIdx.x;
-  for (int i = 0; i < Rank - ReduceRank; ++i) {
-    sub_index[left_dim[i]] = left_idx / left_strides[i];
-    left_idx %= left_strides[i];
-  }
-
-  int reduce_idx = threadIdx.x;
-  for (int j = 0; j < ReduceRank; ++j) {
-    sub_index[reduce_dim[j]] = reduce_idx / reduce_strides[j];
-    reduce_idx %= reduce_strides[j];
-  }
-
-  int idx_x = 0;
-  for (int k = 0; k < Rank; ++k) {
-    idx_x += (sub_index[k] * x_strides[k]);
+template <typename Tx, typename Ty, typename ReduceOp, typename TransformOp>
+__device__ void ReduceAny(const Tx* x, Ty* y, ReduceOp reducer,
+                          TransformOp transformer, Ty init, int reduce_num,
+                          int left_num, bool reduce_lastdim,
+                          const IndexCalculator& reduce_index_calculator,
+                          const IndexCalculator& left_index_calculator) {
+  int input_idx, left_idx, stride;
+  // the last dim gets involved in reduction
+  if (reduce_lastdim) {
+    input_idx = blockIdx.y * blockDim.x + threadIdx.x;
+    left_idx = blockIdx.x;
+    stride = gridDim.y * blockDim.x;
+  } else {
+    input_idx = blockIdx.y * blockDim.y + threadIdx.y;
+    left_idx = blockIdx.x * blockDim.x + threadIdx.x;
+    stride = gridDim.y * blockDim.y;
   }
-  Ty reduce_var = static_cast<Ty>(transformer(x[idx_x]));
-
-  for (int i = threadIdx.x + blockDim.x; i < reduce_num; i += blockDim.x) {
-    int reduce_idx = i;
+  // calculate the offset, means the addr where each thread really start.
+  int input_offset = left_index_calculator.Get(left_idx);
+  const Tx* input = x + input_offset;
+  Ty reduce_var = init;
 
-    for (int j = 0; j < ReduceRank; ++j) {
-      sub_index[reduce_dim[j]] = reduce_idx / reduce_strides[j];
-      reduce_idx %= reduce_strides[j];
+  // 1. reduce for each thread
+  if (left_idx < left_num) {
+    // load REDUCE_VEC_SIZE data once, and then compute
+    Tx input_reg[REDUCE_VEC_SIZE];
+    int bound = reduce_num - (REDUCE_VEC_SIZE - 1) * stride;
+    while (input_idx < bound) {
+#pragma unroll
+      for (int i = 0; i < REDUCE_VEC_SIZE; ++i) {
+        int reduce_idx = input_idx + i * stride;
+        int idx_x = reduce_index_calculator.Get(reduce_idx);
+        input_reg[i] = input[idx_x];
+      }
+#pragma unroll
+      for (int i = 0; i < REDUCE_VEC_SIZE; ++i) {
+        reduce_var = reducer(reduce_var, transformer(input_reg[i]));
+      }
+      input_idx += REDUCE_VEC_SIZE * stride;
     }
 
-    int idx_x = 0;
-    for (int k = 0; k < Rank; ++k) {
-      idx_x += (sub_index[k] * x_strides[k]);
+    // deal with the remain part
+    int input_idx_tmp = input_idx;
+#pragma unroll
+    for (int i = 0; i < REDUCE_VEC_SIZE; ++i) {
+      if (input_idx >= reduce_num) {
+        break;
+      }
+      int reduce_idx = input_idx;
+      int idx_x = reduce_index_calculator.Get(reduce_idx);
+      input_reg[i] = input[idx_x];
+      input_idx += stride;
     }
+    input_idx = input_idx_tmp;
+#pragma unroll
+    for (int i = 0; i < REDUCE_VEC_SIZE; ++i) {
+      if (input_idx >= reduce_num) {
+        break;
+      }
+      reduce_var = reducer(reduce_var, transformer(input_reg[i]));
+      input_idx += stride;
+    }
+  }
 
-    reduce_var = static_cast<Ty>(
-        reducer(reduce_var, static_cast<Ty>(transformer(x[idx_x]))));
+  // 2. reduce in block y
+  if (blockDim.y > 1) {
+    reduce_var = BlockYReduce(reduce_var, reducer);
   }
   __syncthreads();
 
-  reduce_var = BlockReduce(reduce_var, reducer);
-  if (threadIdx.x == 0) {
-    y[blockIdx.x] = reduce_var;
+  if (reduce_lastdim) {
+    // 3. reduce in block x
+    reduce_var = BlockXReduce(reduce_var, reducer);
+    if (threadIdx.x == 0) {
+      y[blockIdx.x + blockIdx.y * gridDim.x] = reduce_var;
+    }
+  } else {
+    if (left_idx < left_num && threadIdx.y == 0) {
+      y[blockIdx.y * left_num + left_idx] = reduce_var;
+    }
   }
 }
 
 // module function designed for global function
-template <typename Tx, typename Ty, typename ReduceOp, typename TransformOp,
-          int Rank, int ReduceRank>
-__device__ __forceinline__ void ReduceModule(
-    const Tx* x, Ty* y, ReduceOp reducer, TransformOp transformer, Ty init,
-    int reduce_num, int left_num, int blocking_size, int reduce_type,
-    paddle::framework::Array<int, Rank> x_strides,
-    paddle::framework::Array<int, ReduceRank> reduce_dim,
-    paddle::framework::Array<int, ReduceRank> reduce_strides,
-    paddle::framework::Array<int, Rank - ReduceRank> left_dim,
-    paddle::framework::Array<int, Rank - ReduceRank> left_strides) {
-  // reduce_rank == 1 && reduce_dim[0] == x_dim.size() - 1
+template <typename Tx, typename Ty, typename ReduceOp, typename TransformOp>
+__device__ void ReduceModule(const Tx* x, Ty* y, ReduceOp reducer,
+                             TransformOp transformer, Ty init, int reduce_num,
+                             int left_num, int blocking_size, int reduce_type,
+                             bool reduce_lastdim,
+                             const IndexCalculator& reduce_index_calculator,
+                             const IndexCalculator& left_index_calculator) {
   if (reduce_type == ReduceType::kReduceLastDim) {
     ReduceLastDim<Tx, Ty, ReduceOp, TransformOp>(x, y, reducer, transformer,
                                                  init, reduce_num);
@@ -573,104 +717,66 @@ __device__ __forceinline__ void ReduceModule(
 
     // reduce_rank >= 2
   } else {
-    ReduceAny<Tx, Ty, ReduceOp, TransformOp, Rank, ReduceRank>(
-        x, y, reducer, transformer, reduce_num, x_strides, reduce_dim,
-        reduce_strides, left_dim, left_strides);
+    ReduceAny<Tx, Ty, ReduceOp, TransformOp>(
+        x, y, reducer, transformer, init, reduce_num, left_num, reduce_lastdim,
+        reduce_index_calculator, left_index_calculator);
   }
 }
 
-template <typename Tx, typename Ty, typename ReduceOp, typename TransformOp,
-          int Rank, int ReduceRank>
-__global__ void ReduceKernelFunction(
-    const Tx* x, Ty* y, ReduceOp reducer, TransformOp transformer, Ty init,
-    int reduce_num, int left_num, int block_size, int reduce_type,
-    paddle::framework::Array<int, Rank> x_strides,
-    paddle::framework::Array<int, ReduceRank> reduce_dim,
-    paddle::framework::Array<int, ReduceRank> reduce_strides,
-    paddle::framework::Array<int, Rank - ReduceRank> left_dim,
-    paddle::framework::Array<int, Rank - ReduceRank> left_strides) {
-  ReduceModule<Tx, Ty, ReduceOp, TransformOp, Rank, ReduceRank>(
-      x, y, reducer, transformer, init, reduce_num, left_num, block_size,
-      reduce_type, x_strides, reduce_dim, reduce_strides, left_dim,
-      left_strides);
+template <typename Tx, typename Ty, typename ReduceOp, typename TransformOp>
+__global__ void ReduceKernelFunction(const Tx* x, Ty* y, ReduceOp reducer,
+                                     TransformOp transformer, Ty init,
+                                     int reduce_num, int left_num,
+                                     int blocking_size, int reduce_type,
+                                     bool reduce_lastdim,
+                                     IndexCalculator reduce_index_calculator,
+                                     IndexCalculator left_index_calculator) {
+  ReduceModule<Tx, Ty, ReduceOp, TransformOp>(
+      x, y, reducer, transformer, init, reduce_num, left_num, blocking_size,
+      reduce_type, reduce_lastdim, reduce_index_calculator,
+      left_index_calculator);
 }
 
-template <typename Tx, typename Ty, typename ReduceOp, int Rank, int ReduceRank>
+template <typename Tx, typename Ty, typename ReduceOp>
 static void LaunchReduceKernel(const Tx* x_data, Ty* y_data,
                                const ReduceOp& reducer, Ty init,
                                gpuStream_t stream, ReduceConfig<Ty> config) {
   using TransformOp = typename ReduceOp::Transformer;
 
-  ReduceKernelFunction<Tx, Ty, ReduceOp, TransformOp, Rank,
-                       ReduceRank><<<config.grid, config.block, 0, stream>>>(
+  int reduce_rank = config.reduce_strides.size();
+  int left_rank = config.left_strides.size();
+  auto reduce_index_calculator = IndexCalculator(
+      reduce_rank, config.reduce_dim, config.reduce_strides, config.x_strides);
+  auto left_index_calculator = IndexCalculator(
+      left_rank, config.left_dim, config.left_strides, config.x_strides);
+
+  ReduceKernelFunction<Tx, Ty, ReduceOp,
+                       TransformOp><<<config.grid, config.block, 0, stream>>>(
       x_data, config.output_data, reducer, TransformOp(config.reduce_num), init,
       config.reduce_num, config.left_num, config.blocking_size,
-      config.reduce_type, detail::VectorToArray<int, Rank>(config.x_strides),
-      detail::VectorToArray<int, ReduceRank>(config.reduce_dim),
-      detail::VectorToArray<int, ReduceRank>(config.reduce_strides),
-      detail::VectorToArray<int, Rank - ReduceRank>(config.left_dim),
-      detail::VectorToArray<int, Rank - ReduceRank>(config.left_strides));
+      config.reduce_type, config.reduce_lastdim, reduce_index_calculator,
+      left_index_calculator);
 
   if (config.should_reduce_again) {
-    dim3 block(config.block.x, 1, 1);
-    dim3 grid(config.grid.x, 1, config.grid.z);
+    dim3 block;
+    dim3 grid;
+    if (config.reduce_lastdim) {
+      block = dim3(32, 1, 1);
+      grid = dim3(detail::AlignUp(config.left_num, 32), 1, 1);
+    } else {
+      block = dim3(config.block.x, 1, 1);
+      grid = dim3(config.grid.x, 1, config.grid.z);
+    }
 
-    ReduceKernelFunction<Ty, Ty, ReduceOp, detail::IdentityFunctor<Ty>, Rank,
-                         ReduceRank><<<grid, block, 0, stream>>>(
+    ReduceKernelFunction<Ty, Ty, ReduceOp, detail::IdentityFunctor<
+                                               Ty>><<<grid, block, 0, stream>>>(
         config.output_data, y_data, reducer,
         detail::IdentityFunctor<Ty>(config.grid.y), init, config.grid.y,
         config.left_num, config.grid.y, ReduceType::kReduceHigherDim,
-        detail::VectorToArray<int, Rank>(config.x_strides),
-        detail::VectorToArray<int, ReduceRank>(config.reduce_dim),
-        detail::VectorToArray<int, ReduceRank>(config.reduce_strides),
-        detail::VectorToArray<int, Rank - ReduceRank>(config.left_dim),
-        detail::VectorToArray<int, Rank - ReduceRank>(config.left_strides));
+        config.reduce_lastdim, reduce_index_calculator, left_index_calculator);
   }
 }
 
-template <typename Tx, typename Ty, typename ReduceOp>
-static void ReduceKernelImpl(const Tx* x_data, Ty* y_data,
-                             const ReduceOp& reducer, Ty init,
-                             gpuStream_t stream, ReduceConfig<Ty> config) {
-  int reduce_rank = config.reduce_strides.size();
-  int rank = config.x_strides.size();
-
-#define CUB_RANK_CASE(i, ...)             \
-  case i: {                               \
-    constexpr auto Rank = i;              \
-    switch (reduce_rank) { __VA_ARGS__; } \
-  } break
-
-#define CUB_REDUCE_RANK_CASE(i, ...)                        \
-  case i: {                                                 \
-    constexpr auto ReduceRank = i;                          \
-    LaunchReduceKernel<Tx, Ty, ReduceOp, Rank, ReduceRank>( \
-        x_data, y_data, reducer, init, stream, config);     \
-  } break
-
-  detail::CheckReduceRank(reduce_rank, rank);
-  switch (rank) {
-    CUB_RANK_CASE(2, CUB_REDUCE_RANK_CASE(1););
-
-    CUB_RANK_CASE(3, CUB_REDUCE_RANK_CASE(1); CUB_REDUCE_RANK_CASE(2););
-
-    CUB_RANK_CASE(4, CUB_REDUCE_RANK_CASE(2););
-
-    CUB_RANK_CASE(5, CUB_REDUCE_RANK_CASE(2); CUB_REDUCE_RANK_CASE(3););
-
-    CUB_RANK_CASE(6, CUB_REDUCE_RANK_CASE(3););
-
-    CUB_RANK_CASE(7, CUB_REDUCE_RANK_CASE(3); CUB_REDUCE_RANK_CASE(4););
-
-    CUB_RANK_CASE(8, CUB_REDUCE_RANK_CASE(4););
-
-    CUB_RANK_CASE(9, CUB_REDUCE_RANK_CASE(4); CUB_REDUCE_RANK_CASE(5););
-  }
-
-#undef CUB_REDUCE_RANK_CASE
-#undef CUB_RANK_CASE
-}
-
 template <typename Tx, typename Ty,
           template <typename, typename> class ReduceOp>
 void TensorReduceFunctorImpl(const framework::Tensor& x, framework::Tensor* y,
@@ -682,8 +788,8 @@ void TensorReduceFunctorImpl(const framework::Tensor& x, framework::Tensor* y,
 
   // after config.run()
   // SetOutputData for ReduceHigherDim when should_reduce_again is true,
-  //   temp_output should be stored temp_data in output_data space or stored in
-  //   y_data;
+  // temp_output should be stored temp_data in output_data space or stored in
+  // y_data;
   framework::Tensor tmp;
   auto x_data = x.data<Tx>();
   auto y_data = y->mutable_data<Ty>(x.place());
@@ -718,8 +824,8 @@ void TensorReduceFunctorImpl(const framework::Tensor& x, framework::Tensor* y,
     return;
   }
 
-  ReduceKernelImpl<Tx, Ty, ReduceOp<Tx, Ty>>(x_data, y_data, reducer,
-                                             reducer.initial(), stream, config);
+  LaunchReduceKernel<Tx, Ty, ReduceOp<Tx, Ty>>(
+      x_data, y_data, reducer, reducer.initial(), stream, config);
 }
 
 template <typename Tx, template <typename, typename> class ReduceOp>
diff --git a/paddle/fluid/platform/fast_divmod.h b/paddle/fluid/platform/fast_divmod.h
index 5c5903d62cd277f6d86e542f04de066c96374704..c6c22bb2f9203b00e924f06f6fe4bf1b0b4ffc65 100644
--- a/paddle/fluid/platform/fast_divmod.h
+++ b/paddle/fluid/platform/fast_divmod.h
@@ -54,7 +54,7 @@ struct FastDivMod {
     return (t + n) >> shift_val;
   }
 
-  __device__ __forceinline__ DivModT Divmod(uint32_t n) {
+  __device__ __forceinline__ DivModT Divmod(uint32_t n) const {
     uint32_t q = Div(n);
     DivModT result = {q, n - q * divisor};
     return result;